G. Longobardi

activity

20192026

most citedLinear sets and MRD-codes arising from a class of scattered linearized polynomials

25 citations · 31 across the 18 of their papers we have counts for

collaborators

Showing 2023Show all

3 papers · 1 filter

math.CO2023

Scattered trinomials of $F_{q^{6}} [X]$ in even characteristic

Daniele Bartoli, Giovanni Longobardi, Giuseppe Marino +1

In recent years, several families of scattered polynomials have been investigated in the literature. However, most of them only exist in odd characteristic. In [B. Csajbók, G. Mari…

cs.IT2023

Short rank-metric codes and scattered subspaces

Stefano Lia, Giovanni Longobardi, Giuseppe Marino +1

By exploiting the connection between scattered $F_{q}$ -subspaces of $F_{q^{m}}^{3}$ and minimal non degenerate $3$ -dimensional rank metric codes of $\mathbb{F}_{q^m}^{n…

cs.IT2023

Non-linear MRD codes from cones over exterior sets

Nicola Durante, Giovanni Giuseppe Grimaldi, Giovanni Longobardi

By using the notion of $d$ -embedding $Γ$ of a (canonical) subgeometry $Σ$ and of exterior set with respect to the $h$ -secant variety $Ω_{h} (A)$ of a subset $A$ ,…

Scattered trinomials of Fq6​[X] in even characteristic

Short rank-metric codes and scattered subspaces

Non-linear MRD codes from cones over exterior sets

Scattered trinomials of $F_{q^{6}} [X]$ in even characteristic